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PHYS 5103: Advanced Mechanics (Fall 2016, University of Arkansas). 2016 Fall Physics Lectures from the University of Arkansas - Fayetteville, AR.

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These videos are a component of the graduate course PHYS 5103 - "Advanced Mechanics" using the text "Classical Mechanics with a Bang!", both developed by Prof. William G. Harter. The class provides a geometric approach to classical mechanics. Geometry helps to clarify the calculus and physics of mechanics and shows that the symmetry principles behind classical theory also underlie quantum theory.

Course Currilcum

  • Lecture 01 – 1st Axioms and Theorems of Classical Mechanics Unlimited
  • Lecture 02 – Analysis of 1D 2-Body Collisions I Unlimited
  • Lecture 03 – Analysis of 1D 2-Body Collisions II: Reflection Groups Unlimited
  • Lecture 04 – Kinetic Derivation of 1D Potentials and Force Fields Unlimited
  • Lecture 05 – Dynamics of Potentials and Force Fields Unlimited
  • Lecture 06 – Geometry of Common Power-law Potentials Unlimited
  • Lecture 07 – Kepler Geometry of Isotropic Harmonic Oscillator (IHO) Elliptical Orbits Unlimited
  • Lecture 08 – Quadratic Form Geometry and Development of Mechanics of Lagrange and Hamilton Unlimited
  • Lecture 09 – Equations of Lagrange and Hamilton Mechanics in Generalized Curvilinear Coordinates Unlimited
  • Lecture 10 – Hamiltonian vs. Lagrange Mechanics in Generalized Curvilinear Coordinates Unlimited
  • Lecture 11 – Poincare, Lagrange, Hamiltonian, and Jacobi Mechanics Unlimited
  • Lecture 12 – Complex Variables, Series, and Field Coordinates I Unlimited
  • Lecture 13 – Complex Variables, Series, and Field Coordinates II Unlimited
  • Lecture 14 – Introducing GCC Lagrangian a la Trebuchet Dynamics Unlimited
  • Lecture 15 – GCC Lagrange and Riemann Equations for Trebuchet Unlimited
  • Lecture 16 – Hamilton Equations for Trebuchet and Other Things Unlimited
  • Lecture 17 – Riemann-Christoffel Equations and Covariant Derivative Unlimited
  • Lecture 18 – Electromagnetic Lagrangian and Charge-field Mechanics Unlimited
  • Lecture 19 – Classical Constraints: Comparing Various Methods Unlimited
  • Lecture 20 – Introduction to Classical Oscillation and Resonance Unlimited
  • Lecture 21 – Introduction to Coupled Oscillation and Eigenmodes Unlimited
  • Lecture 22 – Introduction to Spinor-Vector Resonance Dynamics Unlimited
  • Lecture 23 – U(2)~R(3) Algebra/Geometry in Classical or Quantum Theory Unlimited
  • Lecture 24 – Parametric Resonance and Multi-particle Wave Modes Unlimited
  • Lecture 25 – Introduction to Orbital Dynamics Unlimited
  • Lecture 26 – Geometry and Symmetry of Coulomb Orbital Dynamics I Unlimited
  • Lecture 27 – Geometry and Symmetry of Coulomb Orbital Dynamics II Unlimited
  • Lecture 28 – Multi-particle and Rotational Dynamics Unlimited
  • Lecture 30 – Relawavity and a Novel Introduction to Relativistic Mechanics I Unlimited
  • Lecture 31 – Relawavity and a Novel Introduction to Relativistic Mechanics II Unlimited
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